System of differential equations in Maple

Question

I have problems entering a system of differential equations to Maple 13. Equations are:

$x' = -4x + 2y$
$y' = 5x - 4y$

Solve for $x = 0, y = 0$

Thank you in advance

Answer 1

I have two ways for solving this system of equations using the dsolve command:

1)

sys := diff(x(t), t) = -4*x(t)+2*y(t), diff(y(t), t) = 5*x(t)-4*y(t):
f := {x(t), y(t)}:
dsolve({sys, x(0) = 0, y(0) = 0}, f);

2)

sys := [diff(x(t), t) = -4*x(t)+2*y(t), diff(y(t), t) = 5*x(t)-4*y(t)]:
p := dsolve(sys):
a1 := subs(x(t) = 0, t = 0, p[1]):
a2 := subs(y(t) = 0, t = 0, p[2]):
solve({a1, a2}, {_C1, _C2});